Algebraic structures such as groups, rings and modules provide a rigorous framework for organising and manipulating mathematical objects. Graph theory, concerned with vertices connected by edges, has ...

Graph processes and random structures form a vibrant subfield of graph theory concerned with the probabilistic evolution of networks and the emergence of complex connectivity patterns. At its core ...

Crystal structures have a decisive impact on the properties of materials, and research on crystal structures often serves as a starting point for material studies. Crystal structure prediction is a ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...

Materials Genome Initiative (MGI) and National Materials Genome Project have been launched by American and Chinese government in the past decade. One of the major goals of these missions is to ...